Four-manifolds with harmonic 2-forms of constant length

DOI10.1007/s10711-019-00494-6zbMath1442.53028OpenAlexW2985878433MaRDI QIDQ776206

Inyoung Kim

Publication date: 30 June 2020

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-019-00494-6

zbMATH Keywords

4-manifoldalmost-Kählerbiorthogonal curvatureharmonic 2-form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global theory of symplectic and contact manifolds (53D35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Weyl curvature, del Pezzo surfaces, and almost-Kähler geometry
• The topology of four-dimensional manifolds
• On some compact Einstein almost Kähler manifolds
• Some remarks on positively curved 4-manifolds
• On Einstein manifolds of positive sectional curvature
• Geometric formality and non-negative scalar curvature
• Four-dimensional manifolds with positive biorthogonal curvature
• An application of gauge theory to four dimensional topology
• Monopoles and four-manifolds
• The Seiberg-Witten invariants and symplectic forms
• Four-dimensional compact manifolds with nonnegative biorthogonal curvature
• Geometrically formal 4-manifolds with nonnegative sectional curvature
• Einstein metrics, harmonic forms, and symplectic four-manifolds
• NOTES ON SYMPLECTIC 4-MANIFOLDS WITH $b_2^+ =1$, II
• Positive biorthogonal curvature on $S^2\times S^2$
• Kählerian Twistor Spaces
• Compact four-dimensional self-dual EINSTEIN manifolds with positive scalar curvature
• Calabi's conjecture and some new results in algebraic geometry
• SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves
• Some new applications of general wall crossing formula, Gompf's conjecture and its applications
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